The wave function, Ψn,l,ml is a methematical function whose value dep

The wave function, Ψn,l,ml is a methematical function whose value depends upon spherical polar coordinates (r, θ, Ф) of the electron and characterized by the quantum numbers n, l and m. Here r is distance from nucleus, θ is colatitude and Ф is azimuth. In the mathematical functions given in the Table, Z is atomic number and a0 is Bohr radius. Column 1 Column 2 Column 3 (i) 1s orbital (i) Ψn,l,ml∝(Za0)32e(−Zra0) (P) (ii) 2s orbital (ii) One radial node (Q) Probability density at nucleus ∝1a30 (iii) 2 pz orbital (iii) Ψn,l,ml∝(Za0)52re(−Zr2a0)cosθ (R) Probability density is maximum at nucleus (iv) 3 d2z orbital (iv) xy-plane is a nodal plane (S) Energy needed to excite electron from n = 2 state to n = 4 state is2732 times the energy needed to excite electron from n = 2 state to n = 6 state For He+ion, the only INCORRECT combination is:

Answer»

The wave function, $Ψ_{n, l, m_{l}}$ is a methematical function whose value depends upon spherical polar coordinates (r, θ, Ф) of the electron and characterized by the quantum numbers n, l and m. Here r is distance from nucleus, θ is colatitude and Ф is azimuth. In the mathematical functions given in the Table, Z is atomic number and $a_{0}$ is Bohr radius.

Column 1	Column 2	Column 3
(i) 1s orbital	(i) $Ψ_{n, l, m_{l}} \propto {(\frac{Z}{a_{0}})}^{\frac{3}{2}} e^{(\frac{- Z r}{a_{0}})}$	(P)
(ii) 2s orbital	(ii) One radial node	(Q) Probability density at nucleus $\propto \frac{1}{a_{0}^{3}}$
(iii) 2 $p_{z}$ orbital	(iii) $Ψ_{n, l, m_{l}} \propto {(\frac{Z}{a_{0}})}^{\frac{5}{2}} r e^{(\frac{- Z r}{2 a_{0}})} c o s θ$	(R) Probability density is maximum at nucleus
(iv) 3 $d_{z}^{2}$ orbital	(iv) xy-plane is a nodal plane	(S) Energy needed to excite electron from n = 2 state to n = 4 state is $\frac{27}{32}$ times the energy needed to excite electron from n = 2 state to n = 6 state

For $H e^{+}$ ion, the only INCORRECT combination is:

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